# Quantitative Aptitude Test 2

Quantitative Aptitude.

1. ABCD is a rectangle. A rhombus is made by joining the mid-points of the sides of rectangle ABCD. Another rectangle is formed by joining the mid-points of the sides of the rhombus. Again a rhombus is formed by joining the mid-points of the sides of the rectangle. And so on. This process is repeated infinitely. Find the ratio of the areas of all the rectangles to the areas of all the rhombi.

2. A man has seven children. On every Sunday he takes three of his children to the zoo. Each time the combination of children is different. In other words, the same three children do not go together for a second time. As soon as that situation arises, he stops going to the zoo. How many times will his youngest son, Manish, go the zoo?

3. If x + y + z = 1 and x, y, z are positive numbers then (1 – x)(1 – y)(1 – z) ³A xyz where A is a positive integer. Find the most suitable value, of A.

4. There is a six-digit number N = abcabc where a, b and c are three digits. Now which of the following statements about this number is not correct?

5. If Sita’s salary is Wla more than Rita’s salary, how much per cent is Rita’s salary less than Sita’s salary ?

6. A kite is 100 metres high and there is 260 metres of cord out. If the kite moves horizontally at the rate of 6.5 km/hr directly away from a person who is flying it, find how fast the cord is being pulled out.

7. There is a three-digit number, N = xyz; x, y, z are three different digits. If X2 + Y2 = 41, X2 + Z2 = 89 and Y2 + Z2 = 80, find N.

8. A telephone company in a town has 500 subscribers on its list and collects fixed charges of Rs. 300/- per subscriber per year. The company proposes to increase the annual subscription and it is believed that for every increase of Re 1, one subscriber will discontinue the service. Find what increase will bring maximum income to the company.

9. A person spent half of the money he had. Now he finds that he has just as many paise as he had rupees and half as many rupees as he had paise in the beginning. If 1% error is allowed what should be your nearest guess about his money in the beginning?

10. The fuel charge for running a train at uniform speed over a given distance of 80 km varies as the square of its speed and at 16 km/hr, it is found to be Its. 48 per hour. The fixed charges, ie salaries etc, amount to Rs 300 for every hour of run. What should be the most economical speed?

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